Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) =  for values of x near zero.

A. f(x) ? 1 + 2x
B. f(x) ? 1 - 2x
C. f(x) ? 2 - 2x
D. f(x) ? 2 + 2x


Answer: D

Mathematics

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Use Newton's Law of Cooling to solve the problem.A cup of coffee with temperature 104°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 70.1°F. What will its temperature be 20 minutes after it is placed in the freezer? Round your answer to the nearest degree.

A. 21°F B. 18°F C. 17°F D. 20°F

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Evaluate the exponential form. 3

A.
B. 3 
C.  
D.  

Mathematics

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r = 3 

A.

2 + y2 = ; circle,
radius , center at  in
rectangular coordinates
B.

x = 3; vertical line 3 units to the right
of the pole



C.

x2 + 2 = ; circle,
radius , center at  in
rectangular coordinates
D.

x2 + y2 = 9; circle, radius 3, 
center at pole


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Solve the inequality using a sign chart.-7x2 - 6 ? -23x

A. x ?  or x ? 3
B.  ? x ? 3
C. x > 3
D. x ? 

Mathematics